What is the Square Root of 5012?

The square root of 5012 is 70.7954800817. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√5012 = 70.7954800817
CalculatedNon-perfect squareIrrational
Exact form√5012
Perfect squareNo
Number typeIrrational
Verification70.79548008172 ≈ 5012

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How the answer is calculated

We solve x2 = 5012. The resulting value is x = 70.7954800817.

Verification: 70.79548008172 ≈ 5012.

Simplified radical form

The square root of 5012 in simplified radical form is 2√1253.

This is equivalent to √5012, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal704900
Upper or equal715041

Nearby square roots

NumberSquare root
√500970.7742891169
√501070.7813534767
√501170.7884171316
√501270.7954800817
√501370.8025423272
√501470.8096038684
√501570.8166647054

Number properties

Is 5012 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√5012 is irrational because 5012 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 5012.